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4223205 = 335741109
BaseRepresentation
bin10000000111000011100101
321221120011000
4100013003211
52040120310
6230303513
750616360
oct20070345
97846130
104223205
112424a58
1214b7b99
13b4b34c
147bd0d7
155864c0
hex4070e5

4223205 has 64 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 1866240.

The previous prime is 4223189. The next prime is 4223207. The reversal of 4223205 is 5023224.

It is not a de Polignac number, because 4223205 - 24 = 4223189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38691 + ... + 38799.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

Almost surely, 24223205 is an apocalyptic number.

4223205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4223205 is an abundant number, since it is smaller than the sum of its proper divisors (4647195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4223205 is a wasteful number, since it uses less digits than its factorization.

4223205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4223205 is about 2055.0437951538. The cubic root of 4223205 is about 161.6394588192.

Adding to 4223205 its reverse (5023224), we get a palindrome (9246429).

The spelling of 4223205 in words is "four million, two hundred twenty-three thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 63 105 109 123 135 189 205 287 315 327 369 545 615 763 861 945 981 1107 1435 1635 1845 2289 2583 2943 3815 4305 4469 4905 5535 6867 7749 11445 12915 13407 14715 20601 22345 31283 34335 38745 40221 67035 93849 103005 120663 156415 201105 281547 469245 603315 844641 1407735 4223205